Dynamic mode locking in a driven colloidal system: experiments and theory

Abstract

In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion over the periodic landscape leads to synchronisation of particle motion into discrete modes. This synchronisation manifests as steps in the average particle velocity, with mode locked steps covering a range of average driving velocities. The amplitude and frequency dependence of the steps are considered, and compared to results from analytic theory, Langevin Dynamics simulations, and Dynamic Density Functional Theory. Furthermore, the critical driving velocity is studied, and simulation used to extend the range of conditions accessible in experiments alone. Finally, state diagrams from experiment, simulation, and theory are used to show the extent of the dynamically locked modes in two dimensions, as a function of both the amplitude and frequency of the modulated drive.

References in corpus (19)

• Dynamic Density Functional Theory of Fluids
• The sound of many hands clapping
• Dynamical density functional theory and its application to spinodal decomposition
• Synchronization of Micromechanical Oscillators Using Light
• Nonequilibrium Dynamic Phase Diagram for Vortex Lattices
• Physics of the rhythmic applause
• Mode locking of vortex matter driven through mesoscopic channels
• Mode-locking in ac-driven vortex lattices with random pinning
• Dispersionless transport in a washboard potential
• Dynamic ordering and frustration of confined vortex rows studied by mode-locking experiments
• Interplay of frequency-synchronization with noise: current resonances, giant diffusion and diffusion-crests
• Depinning and dynamics of vortices confined in mesoscopic flow channels
• Colloidal particles driven across periodic optical potential energy landscapes
• Partial synchronisation of stochastic oscillators through hydrodynamic coupling
• Synchronous versus asynchronous transport of a paramagnetic particle in a modulated ratchet potential
• Feedback-induced oscillations in one-dimensional colloidal transport
• Dynamical analysis of an optical rocking ratchet: Theory and experiment
• Dispersionless motion in a driven periodic potential
• A minimal model for short-time diffusion in periodic potentials

Cited by in corpus (9)

• Classical dynamical density functional theory: from fundamentals to applications
• Memory effects in colloidal motion under confinement and driving
• Phase locking and fractional Shapiro steps in collective dynamics of microparticles
• Transition path time over a barrier of a colloidal particle in a viscoelastic bath
• Complexity of Shapiro steps
• Depinning transition of self-propelled particles
• The largest Lyapunov exponent as a tool for detecting relative changes in the particle positions
• Current reversals in driven lattice gases and Brownian motion
• Intermediate scattering function of Brownian particles in a tilted cosine potential